Abhishek Singh, Shyam Kishor

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In this paper we study some types of  η-Ricci solitons on Lorentzian
para-Sasakian manifolds and we give an example of  η-Ricci solitons on 3-
dimensional Lorentzian para-Sasakian manifold. We obtain the conditions of  η-
Ricci soliton on ϕ-conformally flat, ϕ-conharmonically flat and ϕ-projectively
flat Lorentzian para-Sasakian manifolds, the existence of η-Ricci solitons implies that (M,g) is  η-Einstein manifold. In these cases there is no Ricci soliton
on M with the potential vector field


η-Ricci solitons, Lorentzian para-Sasakian structure, conformal curvature, conharmonic curvature and projective curvature.


η-Ricci solitons, Lorentzian para-Sasakian structure, conformal curvature, conharmonic curvature and projective curvature.

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